NDA · Mathematics · UPSC · 2025

Basics of Coordinate Geometry — NDA Mathematics PYQs

3 questions from this chapter, asked in 1 NDA exams between 2025.

3questions

1NDA exams

2025years covered

Questions asked per year

20253 Qs

Practice questions first 3 of 3 — free

Q1MCQ2025

Answer Logic

If $p$ and $q$ are real numbers between $0$ and $1$ such that the points $(p, 1)$ , $(1, q)$ and $(0, 0)$ form an equilateral triangle, then what is $(p + q)$ equal to?

(A)

2

(B)

2 - 1

(C)

2 - 3

(D)

4 - 23

Q2MCQ2025

Answer Logic

The equation of the locus of a point equidistant from the points $(a, b)$ and $(c, d)$ is $(a - c) x + (b - d) y + k = 0$ . What is the value of $k$ ?

(A)

a^{2} - c^{2} + b^{2} - d^{2}

(B)

c^{2} + d^{2} - a^{2} - b^{2}

(C)

\frac{a ^{2} - c ^{2} + b ^{2} - d ^{2}}{2}

(D)

\frac{c ^{2} + d ^{2} - a ^{2} - b ^{2}}{2}

Q3MCQ2025

Answer Logic

If the vertices $B$ and $D$ of a square $A B C D$ are $(2, 3)$ and $(4, 1)$ respectively, then what is the area of the square?

(A)

2

square units

(B)

3

square units

(C)

4

square units

(D)

8

square units

Why practise Basics of Coordinate Geometry PYQs?

Basics of Coordinate Geometry has appeared in the 1 NDA Mathematics exam we track between 2025. UPSC examiners consistently reuse concepts and question patterns from this topic — practising its previous year questions is the most reliable way to know exactly what to expect in your exam.

Basics of Coordinate Geometry — NDA Mathematics PYQs

Questions asked per year

Practice questions first 3 of 3 — free

Why practise Basics of Coordinate Geometry PYQs?

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